1098739200 has 480 divisors, whose sum is σ = 4091738112. Its totient is φ = 258048000.

The previous prime is 1098739183. The next prime is 1098739219. The reversal of 1098739200 is 29378901.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15475165 + ... + 15475235.

Almost surely, 2^1098739200 is an apocalyptic number.

1098739200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1098739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045869056).

1098739200 is an abundant number, since it is smaller than the sum of its proper divisors (2992998912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1098739200 is a wasteful number, since it uses less digits than its factorization.

1098739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1098739200 is about 33147.2351788200. The cubic root of 1098739200 is about 1031.8855711116.

The spelling of 1098739200 in words is "one billion, ninety-eight million, seven hundred thirty-nine thousand, two hundred".